DESIGN OF ROBUST OPTIMAL EIGENVALUE-ASSIGNABLE OUTPUT FEEDBACK PID CONTROLLERS FOR LINEAR UNCERTAIN MULTIVARIABLE SYSTEMS VIA ORTHOGONAL-FUNCTIONS APPROACH AND GENETIC ALGORITHM

作者：Ho Wen Hsien^*; Chen Shinn Horng; Chou Jyh Horng; Wang Tung Chia

来源：International Journal of Innovative Computing Information and Control, 2010, 6(1): 409-422.

• Optimal control
• Eigenvalue assignability
• Multivariable PID control systems
• Singular systems
• Parameter uncertainties
• Orthogonal-functions approach
• Genetic algorithm

By complementarily fusing of the robust regional eigenvalue-assignability condition, the orthogonal-functions approach (OFA) and the hybrid Taguchi-genetic algorithm. (HTGA), an integrative method is proposed in this paper to design the robust optimal eigenvalue-assignable Output feedback PID (proportional-integral-derivative) controller such that (i) the eigenvalues of a linear closed-loop uncertain multivariable system can be retained inside the same specified region as the nominal closed-loop system does, and (ii) a quadratic finite-horizon integral performance index for the linear nominal multivariable control system can be minimized. In this paper, the robust optimal eigenvalue-assignable output feedback PID control problem of a linear uncertain multivariable control system is converted to the robust optimal eigenvalue-assignable static output feedback control problem of a linear uncertain singular system. A design example of the robust optimal eigenvalue-assignable output feedback PID controller for an uncertain stirred tank system is given to demonstrate the applicability of the proposed integrative approach.

• 出版日期2010-1